Approximation of analytic functions by rational functions in Banach spaces

DOI10.1016/0022-1236(84)90090-9zbMath0564.46039OpenAlexW2074882777MaRDI QIDQ1058114

Mário Carvalho Matos

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90090-9

zbMATH Keywords

domain of holomorphyapproximation propertyenvelope of rationalitypolynomials over totally disconnected polynomially convex compact subsetsrational approximation of analytic functions over certain compact subsets of a Banach spacerational, polynomial and holomorphic convexityShilov-Arens-Calderón- Waelbroeck theoremvector Oka-Weil propertyvector-valued version of the Oka-Weil theorem

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Infinite-dimensional holomorphy (46G20) Domains of holomorphy (32D05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

On best approximation by rational and holomorphic mappings between Banach spaces, A Runge type theorem for product of planar domains, Vector-valued spectra of Banach algebra valued continuous functions

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